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Finding the Fourth Proportional to 12,677.94, 18,984.06 and 8,741.34

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Solution

The fourth proportional to 12,677.94, 18,984.06 and 8,741.34 is: 13,089.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,677.94 : 18,984.06 = 8,741.34 : x
  2. Step 2: Convert to fraction form
    12,677.94/18,984.06 = 8,741.34/x
  3. Step 3: Cross multiply
    12,677.94x = 18,984.06 × 8,741.34
  4. Step 4: Simplify right side
    12,677.94x = 165,946,123.04
  5. Step 5: Solve for x
    x = 165,946,123.04/12,677.94
  6. Step 6: Final answer
    x = 13,089.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.